Four Unique Positive Factors

[j.abbey212]

Can someone advise on the below question?


If p and q are positive integers such that pq has exactly 4 unique positive factors and p < q, what is the value of the integer p?

(1) The sum of p and q is an odd integer.
(2) The difference between p and q is 1.

[RonPurewal]

hi,
on this forum, it's not acceptable to just post a problem and say "please advise", or "i had no idea how to solve this".

1/
first of all, this is almost certainly not true.
you probably started the problem in some way, and then got stuck at some very specific point(s) along the way.

2/
in the unlikely event that this actually is true—i.e., if you actually looked at this problem and thought, "wow, i have NO idea how to do this at all"—then you're better off leaving the problem and returning to it later.
if we posted the equivalent of an "answer key", that wouldn't help you develop your problem-solving skills—and then you'd waste the problem!
(remember, official problems are a precious resource.)

so...
please post specifics about the issue(s) you're having with the problem.
what was your approach?
what did you understand?
what didn't you understand?
where did you get stuck?
did you try any alternate approaches?
etc.

thanks.

[RonPurewal]

also -- this problem doesn't seem to come from the FREE GMAT Prep software (= the only source allowed in this folder of the forum).

please excuse the inconvenience, but, in order to discuss this problem here, we'll need a screen shot of the problem directly from the FREE GMAT Prep software.
thank you.